Base | Representation |
---|---|
bin | 1011000101101101… |
… | …1110110001100000 |
3 | 21200110022122101000 |
4 | 2301123132301200 |
5 | 22044023134133 |
6 | 1211214312000 |
7 | 133524065100 |
oct | 26133366140 |
9 | 7613278330 |
10 | 2976771168 |
11 | 1298345268 |
12 | 6b0ab8600 |
13 | 385940577 |
14 | 2034bb200 |
15 | 126506413 |
hex | b16dec60 |
2976771168 has 144 divisors (see below), whose sum is σ = 10099902960. Its totient is φ = 850493952.
The previous prime is 2976771167. The next prime is 2976771181. The reversal of 2976771168 is 8611776792.
2976771168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×29767711682 = 17722333173272168448, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2976771167) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7180 + ... + 77492.
It is an arithmetic number, because the mean of its divisors is an integer number (70138215).
Almost surely, 22976771168 is an apocalyptic number.
2976771168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2976771168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049951480).
2976771168 is an abundant number, since it is smaller than the sum of its proper divisors (7123131792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2976771168 is a wasteful number, since it uses less digits than its factorization.
2976771168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 70346 (or 70325 counting only the distinct ones).
The product of its digits is 1778112, while the sum is 54.
The square root of 2976771168 is about 54559.7944277652. The cubic root of 2976771168 is about 1438.5175020514.
The spelling of 2976771168 in words is "two billion, nine hundred seventy-six million, seven hundred seventy-one thousand, one hundred sixty-eight".
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